Question 972466
{{{abs(x+1)/abs(x-1)>=2}}}


Absolute values are always positive.


{{{abs(x+1)>=2*abs(x-1)}}}

{{{2*abs(x-1)-abs(x+1)<=0}}}


Critical x values are -1 and 1.


x less than or equal -1,
pick -2 as example,
{{{2*abs(-2-1)-abs(-2+1)<=0}}} ?
{{{2*3-1<=0}}}
{{{6-1<=0}}}, FALSE


x between -1 and 1,
pick 0,
{{{2*abs(0-1)-abs(0+1)}}}
{{{2-1<=0}}}, FALSE


x greater than or equal 1,
pick 2
{{{2abs(2-1)-abs(2+1)<0}}}
{{{2-3<=0}}}
{{{-1<=0}}}, TRUE.


SOLUTION should be ,   {{{highlight(x>=1)}}}.